Objective:

To provide an advanced school that covers the most important
techniques to study QCD and confinement, ranging from
electromagnetic duality, through Wilson's renormalisation
group to lattice gauge theory.

The mathematical framework for elementary particle theories consists of
a quantum field theory described by a nonlinear generalisation of Maxwell's
equations. The least understood part concerns the strong force responsible
for the structure of sub-nuclear particles and is called Quantum Chromo
Dynamics (QCD). The aim of the ASI is to assemble world experts in this field
who can evaluate the impact of the latest developments, particularly those
centred around electromagnetic duality, the main theme of the preceding
programme. This concept involves the interchange of electric and magnetic
fields. Its usefulness stems from the fact that it also interchanges weak
coupling with strong coupling. Weak coupling means that reliable results
can be obtained from the first few terms in a series expansion, whereas
at strong coupling such a truncation does not make sense.

Recent developments have revealed the role of supersymmetry in making
electromagnetic duality precise in a large class of theories. Roughly
this is because supersymmetry facilitates cancellations between fermionic
and bosonic fluctuations. The ASI will review the new knowledge and its
relation to approaches in which supersymmetry is absent, in a way aimed
at workers in QCD, at the level of an advanced graduate student or junior
researcher. It will address the long standing question of understanding
how quarks are confined within subnuclear particles. The intention will
be to stimulate further activity and progress.

To be more specific, a good understanding of the running of the coupling
constant, of the Wilson renormalisation group and of the particle spectroscopy
will feature in a number of lectures, setting out the framework in which
non-perturbative issues in QCD should be discussed. The renormalisation
group will be discussed in the context of the lattice, momentum-cutoff
and light-front approaches and will give the students working knowledge
of the notion of effective actions and their flow under the renormalisation
group. Introductory lectures on supersymmetry will prepare for the new
ideas on electromagnetic duality. In the presence of supersymmetry, both
instantons and monopoles will contribute in very special ways, revealing
deep results relevant for the dynamics of the theory. This will be
contrasted against what is known from the non-supersymmetric studies.

An important theme that will be developed in this context is the conjecture
that monopoles condensate, such that QCD forms a dual superconductor. It will
be discussed through the lectures how so-called abelian projection introduced
ten years ago by 't Hooft might provide an explicit scenario to test this
dual superconductor picture. The recent Seiberg-Witten duality results add
a new dimension to this conjecture, whose consequence for QCD will be
discussed as much as possible. Another line of attack, that might in
interesting ways be related to the dual superconductor pictures, has been
the attempts to rewrite QCD as a string theory. Also here supersymmetry
recently has been shown to be a useful technical tool.

We are planning to roughly allocate equal time to four main themes, developed
in parallel as illustrated in the enclosed tentative schedule, namely
(i) duality in the light of its possible application to QCD, (ii) general
non-perturbative techniques aimed at understanding confinement, (iii) the
role of instantons and monopoles played in confinement, including tests of
the dual superconductor picture and finally (iv) lattice Monte Carlo results
aimed at first principle calculation of the consequences of QCD, like the
glueball and hadron spectrum and the influence of the strong force on CP
violation and electro-weak processes.

This ASI is unique in bringing so many different approaches together, each
expected to carry part of the solution towards the confinement problem.
Any student that wishes to make progress on the confinement problem
should be aware of these approaches and the ASI will in particular
stimulate exploring the ideas of electromagnetic duality to further
our understanding of confinement in QCD.

This school aims at advanced graduate students and junior postdoctoral
fellows and researchers.

Programme, Timetable and Organisation:

Day of arrival Sunday June 22nd.

Check-in at Selwyn College with the Porter. Dinner is served at 19:30 for
those who have signed up using the housing form. It takes 10-15 minutes to walk
from the college to the Mill Lane lecture rooms. Follow Sidgwick Avenue,
continue straight along Silver Street at the traffic lights. Across the bridge,
with Queens College on the left, turn right into narrow Laundress Lane. This
takes you to Mill Lane, turn left and continue for a couple of meters. The
lecture rooms are on the right.

Organization

Seminars by visitors at the
Newton
Institute programme: 5:00-6:00 p.m. June
25-26 & July 1
Discussions with the lecturers: 5:00-6:30 p.m. June
27 & July 3
Poster sessions by participants: 5:00-7:00 p.m. June
24 & 30

Lunches can be taken any time between 12:15 and 14:00 at the adjacent
University Center in the main dining hall. Vouchers will be provided
upon registration.
Coffee and tea is provided during breaks between lectures
(10:30-11:00, 15:00-15:30 and when appropriate 16:30-17:00).
Dinners are served 19:30 at Selwyn college (except for the banquet on Wednesday
2/7).

The bus will leave 9:30 from Selwyn College for
Woolsthorpe Manor,
the birthplace
of Sir Isaac Newton. The afternoon will be spend in
Lincoln,
where (in whatever
order desired) you can have lunch, admire Lincoln Castle and
Lincoln Cathedral,
considered to be one of Europe's finest medieval
buildings. The costs of 10 pounds will include transportation, admission
to Woolsthorpe Manor and morning coffee (inspiring thoughts concerning falling apples
not guaranteed).

Information:

The summer school will take place in the Mill Lane lecture rooms and
accommodation for participants will be provided at nearby
Selwyn College. Breakfast and
evening meals are included for those that stay at Selwyn College.
Lunch and refreshments during the days that lectures take place are
provided for all registered participants (reception and conference dinner
are included). The fee is £ 650 - please follow the instructions for
payment provided in the e-mail sent around April 12, which also specifies
the deadline of payment and the precise amount in case of partial subsidy.
Information how to reach the Newton Institute can be found
here, whereas
Selwyn College
is located on the corner of Grange Road and Sidgwick Avenue (continues as
Silver Street
towards the city centre, to which Mill Lane is parallel).

Attendance of lectures by local students and researchers is encouraged. For
those that wish to take part in the lunches and use the refreshments, a nominal
fee of £ 120 is charged. In the latter case registration before 31 May is
required.

For information on scientific matters contact Pierre van Baal,
For information on all other matters contact Heather Dawson.

A note on presentations by participants:

A total of 16(8) participants to the school have expressed interest in giving a
short 10 minutes presentation (poster) on their work. We are pleased, but
overwhelmed, by so much interest in this. As the NATO ASI is primarily intended
as a school, we should not reserve too much time for talks by participants, in
particular as the schedule with planned lectures is already relatively full.
Therefore we propose that those who have indicated to want to give a talk,
present a poster instead. Any way we feel this will do more justice to the
work presented than a talk of 10 minutes.

We allocate one of the sessions from 5-6 pm (which may run till 7 pm)
in each of the two weeks for poster presentations. We ask the authors to be
available for answering questions during the appropriate session. Posters can
be displayed for the whole week to stimulate further discussions on the basis
of the work presented. In alphabetical order half the posters can be displayed
during the first week (from Tuesday morning till Saturday) and the remaining
half during the second week (from Monday morning till Friday morning).

Each poster is assigned 3 x 4 feet (0.9 x 1.2 meters).
No pages can be allocated in the proceedings for the posters.
Three people have withdrawn their poster during the school.